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Finding the Fourth Proportional to 2,131.87, 3,196.44 and 898.95

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Solution

The fourth proportional to 2,131.87, 3,196.44 and 898.95 is: 1,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.87 : 3,196.44 = 898.95 : x
  2. Step 2: Convert to fraction form
    2,131.87/3,196.44 = 898.95/x
  3. Step 3: Cross multiply
    2,131.87x = 3,196.44 × 898.95
  4. Step 4: Simplify right side
    2,131.87x = 2,873,439.74
  5. Step 5: Solve for x
    x = 2,873,439.74/2,131.87
  6. Step 6: Final answer
    x = 1,347.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.